Answer:MARK BRAINLLEST MARK BRAINLLEST
(−5/2, 5/2√3)
<h2 />
Step-by-step explanation:
This is a linear differential equation of first order. Solve this by integrating the coefficient of the y term and then raising e to the integrated coefficient to find the integrating factor, i.e. the integrating factor for this problem is e^(6x).
<span>Multiplying both sides of the equation by the integrating factor: </span>
<span>(y')e^(6x) + 6ye^(6x) = e^(12x) </span>
<span>The left side is the derivative of ye^(6x), hence </span>
<span>d/dx[ye^(6x)] = e^(12x) </span>
<span>Integrating </span>
<span>ye^(6x) = (1/12)e^(12x) + c where c is a constant </span>
<span>y = (1/12)e^(6x) + ce^(-6x) </span>
<span>Use the initial condition y(0)=-8 to find c: </span>
<span>-8 = (1/12) + c </span>
<span>c=-97/12 </span>
<span>Hence </span>
<span>y = (1/12)e^(6x) - (97/12)e^(-6x)</span>
<span>(1/3) * 4 = 4/3 = 1 and 1/3 miles</span>
Answer:
Step-by-step explanation:
That is correct.
P=4s=4(12)=48in
A=s^2=12^2=144in^2
Answer:
tickets: $14
popcorn: $10
total: $24
Step-by-step explanation:
2 movie tickets at $7 each is 2*7 which is $14
2 buckets of popcorn at $5 each is 2*5 which is $10
adding these together we get a total spending of $24
